2564012819 has 2 divisors, whose sum is σ = 2564012820. Its totient is φ = 2564012818.

The previous prime is 2564012813. The next prime is 2564012863. The reversal of 2564012819 is 9182104652.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2564012819 - 2²⁸ = 2295577363 is a prime.

It is a super-2 number, since 2×2564012819² = 13148323471992653522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2564012813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282006409 + 1282006410.

It is an arithmetic number, because the mean of its divisors is an integer number (1282006410).

Almost surely, 2^2564012819 is an apocalyptic number.

2564012819 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564012819 is an equidigital number, since it uses as much as digits as its factorization.

2564012819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2564012819 is about 50636.0821845450. The cubic root of 2564012819 is about 1368.6951575255.

The spelling of 2564012819 in words is "two billion, five hundred sixty-four million, twelve thousand, eight hundred nineteen".